106014812736 has 112 divisors (see below), whose sum is σ = 321594057344. Its totient is φ = 30193053696.

The previous prime is 106014812707. The next prime is 106014812773. The reversal of 106014812736 is 637218410601.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×106014812736² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106014812694 and 106014812703.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 294666 + ... + 546678.

It is an arithmetic number, because the mean of its divisors is an integer number (2871375512).

Almost surely, 2^106014812736 is an apocalyptic number.

106014812736 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106014812736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160797028672).

106014812736 is an abundant number, since it is smaller than the sum of its proper divisors (215579244608).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106014812736 is a wasteful number, since it uses less digits than its factorization.

106014812736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252348 (or 252338 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The spelling of 106014812736 in words is "one hundred six billion, fourteen million, eight hundred twelve thousand, seven hundred thirty-six".